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Finding the Third Proportional to 546,935.25 and 827,951.25

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Solution

The third proportional to 546,935.25 and 827,951.25 is: 1,253,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,935.25 : 827,951.25 = 827,951.25 : x
  2. Step 2: Convert to fraction form
    546,935.25/827,951.25 = 827,951.25/x
  3. Step 3: Cross multiply
    546,935.25x = 827,951.25 × 827,951.25
  4. Step 4: Simplify right side
    546,935.25x = 685,503,272,376.56
  5. Step 5: Solve for x
    x = 685,503,272,376.56/546,935.25
  6. Step 6: Final answer
    x = 1,253,353.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.